Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
47174 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ | 0.7022 | 0.8636 | 0.8131 | [X:[], M:[1.1618, 0.9986, 0.9336, 1.0014, 0.6749, 0.7428], q:[0.5347, 0.4668], qb:[0.5318, 0.7905], phi:[0.4191]] | [X:[], M:[[0, 4], [1, -7], [0, -14], [-1, 7], [1, -15], [0, 6]], q:[[-1, 14], [0, -7]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ M_3$, $ M_2$, $ M_4$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_3M_5$, $ M_2M_5$, $ M_4M_5$, $ M_3M_6$, $ M_2M_6$, $ M_4M_6$, $ M_1M_5$, $ M_3^2$, $ M_1M_6$, $ M_2^2$, $ M_5\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.02 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + t^4.05 + t^4.06 + 2*t^4.25 + t^4.26 + t^4.45 + 2*t^4.46 + t^4.47 + t^4.83 + t^5.02 + 2*t^5.03 + t^5.22 + t^5.23 + t^5.51 + t^5.6 + t^5.71 + t^5.99 - 2*t^6. + t^6.07 + t^6.08 - t^6.2 + 2*t^6.28 + 2*t^6.29 + t^6.47 + 3*t^6.48 + 2*t^6.49 + 3*t^6.68 + t^6.69 - t^6.78 + t^6.85 + t^6.86 + t^6.96 + t^7.04 + 3*t^7.05 + t^7.06 + 2*t^7.25 + 2*t^7.26 + t^7.27 + t^7.44 + 2*t^7.45 + t^7.46 + t^7.47 + t^7.53 + t^7.63 + t^7.74 + t^7.83 + t^7.93 + t^7.94 - t^8.02 - t^8.03 + t^8.1 + t^8.11 + t^8.12 - 4*t^8.23 - t^8.24 + 2*t^8.3 + 3*t^8.31 + t^8.32 + t^8.4 + t^8.41 - t^8.43 + t^8.5 + 7*t^8.51 + t^8.52 + 2*t^8.7 + 3*t^8.71 + 2*t^8.72 + t^8.73 - 4*t^8.8 + t^8.87 + t^8.88 + 3*t^8.9 + 3*t^8.91 + 2*t^8.92 + t^8.93 + t^8.99 - t^4.26/y - t^6.28/y - t^6.49/y - t^7.06/y + t^7.25/y + t^7.46/y + t^7.83/y + t^8.02/y + (3*t^8.03)/y + t^8.22/y + (2*t^8.23)/y - t^8.31/y + t^8.8/y + t^8.81/y + t^8.99/y - t^4.26*y - t^6.28*y - t^6.49*y - t^7.06*y + t^7.25*y + t^7.46*y + t^7.83*y + t^8.02*y + 3*t^8.03*y + t^8.22*y + 2*t^8.23*y - t^8.31*y + t^8.8*y + t^8.81*y + t^8.99*y | (g1*t^2.02)/g2^15 + g2^6*t^2.23 + t^2.8/g2^14 + (g1*t^3.)/g2^7 + (g2^7*t^3.)/g1 + g2^4*t^3.49 + g1*g2*t^3.97 + (g1^2*t^4.05)/g2^30 + t^4.06/g2^16 + (2*g1*t^4.25)/g2^9 + (g2^5*t^4.26)/g1 + (g1^2*t^4.45)/g2^2 + 2*g2^12*t^4.46 + (g2^26*t^4.47)/g1^2 + (g1*t^4.83)/g2^29 + (g1^2*t^5.02)/g2^22 + (2*t^5.03)/g2^8 + (g1*t^5.22)/g2 + (g2^13*t^5.23)/g1 + (g1*t^5.51)/g2^11 + t^5.6/g2^28 + g2^10*t^5.71 + (g1^2*t^5.99)/g2^14 - 2*t^6. + (g1^3*t^6.07)/g2^45 + (g1*t^6.08)/g2^31 - (g2^21*t^6.2)/g1 + (2*g1^2*t^6.28)/g2^24 + (2*t^6.29)/g2^10 + (g1^3*t^6.47)/g2^17 + (3*g1*t^6.48)/g2^3 + (2*g2^11*t^6.49)/g1 + g1^2*g2^4*t^6.68 + 2*g2^18*t^6.68 + (g2^32*t^6.69)/g1^2 - (g2*t^6.78)/g1 + (g1^2*t^6.85)/g2^44 + t^6.86/g2^30 + (g1^2*t^6.96)/g2^6 + (g1^3*t^7.04)/g2^37 + (3*g1*t^7.05)/g2^23 + t^7.06/(g1*g2^9) + (2*g1^2*t^7.25)/g2^16 + (2*t^7.26)/g2^2 + (g2^12*t^7.27)/g1^2 + (g1^3*t^7.44)/g2^9 + 2*g1*g2^5*t^7.45 + (g2^19*t^7.46)/g1 + (g2^33*t^7.47)/g1^3 + (g1^2*t^7.53)/g2^26 + (g1*t^7.63)/g2^43 + (g1*t^7.74)/g2^5 + t^7.83/g2^22 + g1^2*g2^2*t^7.93 + g2^16*t^7.94 + (g1^3*t^8.02)/g2^29 - (2*g1*t^8.02)/g2^15 - t^8.03/(g1*g2) + (g1^4*t^8.1)/g2^60 + (g1^2*t^8.11)/g2^46 + t^8.12/g2^32 - 4*g2^6*t^8.23 - (g2^20*t^8.24)/g1^2 + (2*g1^3*t^8.3)/g2^39 + (3*g1*t^8.31)/g2^25 + t^8.32/(g1*g2^11) + t^8.4/g2^42 + (g1^3*t^8.41)/g2 - (g2^27*t^8.43)/g1 + (g1^4*t^8.5)/g2^32 + (4*g1^2*t^8.51)/g2^18 + (3*t^8.51)/g2^4 + (g2^10*t^8.52)/g1^2 + (2*g1^3*t^8.7)/g2^11 + 3*g1*g2^3*t^8.71 + (2*g2^17*t^8.72)/g1 + (g2^31*t^8.73)/g1^3 - (4*t^8.8)/g2^14 + (g1^3*t^8.87)/g2^59 + (g1*t^8.88)/g2^45 + (g1^4*t^8.9)/g2^4 + 2*g1^2*g2^10*t^8.9 + 3*g2^24*t^8.91 + (2*g2^38*t^8.92)/g1^2 + (g2^52*t^8.93)/g1^4 + (g1^3*t^8.99)/g2^21 - t^4.26/(g2^2*y) - (g1*t^6.28)/(g2^17*y) - (g2^4*t^6.49)/y - t^7.06/(g2^16*y) + (g1*t^7.25)/(g2^9*y) + (g2^12*t^7.46)/y + (g1*t^7.83)/(g2^29*y) + (g1^2*t^8.02)/(g2^22*y) + (3*t^8.03)/(g2^8*y) + (g1*t^8.22)/(g2*y) + (2*g2^13*t^8.23)/(g1*y) - (g1^2*t^8.31)/(g2^32*y) + (g1*t^8.8)/(g2^21*y) + t^8.81/(g1*g2^7*y) + (g1^2*t^8.99)/(g2^14*y) - (t^4.26*y)/g2^2 - (g1*t^6.28*y)/g2^17 - g2^4*t^6.49*y - (t^7.06*y)/g2^16 + (g1*t^7.25*y)/g2^9 + g2^12*t^7.46*y + (g1*t^7.83*y)/g2^29 + (g1^2*t^8.02*y)/g2^22 + (3*t^8.03*y)/g2^8 + (g1*t^8.22*y)/g2 + (2*g2^13*t^8.23*y)/g1 - (g1^2*t^8.31*y)/g2^32 + (g1*t^8.8*y)/g2^21 + (t^8.81*y)/(g1*g2^7) + (g1^2*t^8.99*y)/g2^14 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
52503 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7022 | 0.8635 | 0.8132 | [X:[], M:[1.1619, 1.0, 0.9333, 1.0, 0.6762, 0.7429], q:[0.5334, 0.4666], qb:[0.5334, 0.7905], phi:[0.419]] | t^2.03 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + 2*t^4.06 + 3*t^4.26 + 4*t^4.46 + t^4.83 + 3*t^5.03 + 2*t^5.23 + t^5.51 + t^5.6 + t^5.71 - t^6. - t^4.26/y - t^4.26*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
46517 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.683 | 0.8286 | 0.8242 | [X:[], M:[1.1648, 0.9994, 0.9231, 1.0006, 0.6698], q:[0.539, 0.4615], qb:[0.5379, 0.7912], phi:[0.4176]] | t^2.01 + t^2.77 + 2*t^3. + t^3.49 + t^3.76 + t^3.99 + 2*t^4.02 + 2*t^4.25 + 2*t^4.48 + t^4.49 + t^4.78 + 2*t^5.01 + t^5.5 + t^5.54 + t^5.77 - t^6. - t^4.25/y - t^4.25*y | detail |